= The linear system y Ay, y(0) = yo, where A is a symmetric matrix, is solved by Euler's method. a Letting en y-y(nh), n = 0,1,..., prove that en 202 max (1+h)", () - where (A) is the set of eigenvalues of A and || ||2 is the Euclidean matrix norm (cf. A.1.3.3). . b Demonstrate that for every -1 < a"-na"-1b.) c Suppose that the maximal eigenvalue of A is Amax